A fundamental feature of quantum mechanics is the incompatibility between quantum
measurements, which leads to the Heisenberg uncertainty relations and is intrinsically …

We consider how the outputs of the Kadison transitivity theorem and Gelfand–Naimark–
Segal (GNS) construction may be obtained in families when the initial data are varied. More …

A geometrical formulation of estimation theory for finite-dimensional C∗-algebras is
presented. This formulation allows to deal with the classical and quantum case in a single …

We introduce the notion of smooth parametric model of normal positive linear functionals on
possibly infinite-dimensional W⋆-algebras generalizing the notions of parametric models …

In this paper the problem of tomographic reconstruction of states is investigated within the so-
called Schwinger's picture of quantum mechanics in which a groupoid is associated with …

We review some geometrical aspects pertaining to the world of monotone quantum metrics
in finite dimensions. Particular emphasis is given to an unfolded perspective for quantum …

A novel link between monotone metric tensors and actions of suitable extensions of the
unitary group on the manifold of faithful quantum states is presented here by means of three …

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We introduce a quantum geometric tensor in a curved space with a parameter-dependent
metric, which contains the quantum metric tensor as the symmetric part and the Berry …

In this paper, we study a family of quantum Fisher metrics based on a convex mixture of two
well-known inner products, which covers the well-known symmetric logarithmic derivative …